How to solve for time given distance and acceleration using calculus?

Suppose you drop a ball from the top of a building that is 100 feet tall. When you drop the ball, you do not give it any initial velocity. Using calculus, how long does it take (in seconds) for the ball to hit the ground? Assume the acceleration due to gravity is 32.2 ft/sec^2 I'm not sure how to start. I... show more Suppose you drop a ball from the top of a building that is 100 feet tall. When you drop the ball, you do not give it any initial velocity. Using calculus, how long does it take (in seconds) for the ball to hit the ground? Assume the acceleration due to gravity is 32.2 ft/sec^2

I'm not sure how to start. I know that acceleration is the derivative of velocity, velocity is the derivative of position, and so forth.
7 answers 7